Appearance of Gauge Fields and Forces beyond the adiabatic approximation

Pierre Gosselin (1) , Hervé Mohrbach (2, 3)

1 IF - Institut Fourier
2 FCN - Fédération de Chimie de Nancy
3 UPVM - Université Paul Verlaine - Metz

We investigate the origin of quantum geometric phases, gauge fields and forces beyond the adiabatic regime. In particular, we extend the notions of geometric magnetic and electric forces discovered in studies of the Born-Oppenheimer approximation to arbitrary quantum systems described by matrix valued quantum Hamiltonians. The results are illustrated by several physical relevant examples.

Domaines: Physique Quantique [quant-ph]

Pierre Gosselin, Hervé Mohrbach. Appearance of Gauge Fields and Forces beyond the adiabatic approximation. Journal of Physics A: Mathematical and Theoretical, 2010, 43, pp.354025. ⟨10.1088/1751-8113/43/35/354025⟩. ⟨hal-00509367v2⟩